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Finding the Fourth Proportional to 413,213.20, 619,751.76 and 386,314.72

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Solution

The fourth proportional to 413,213.20, 619,751.76 and 386,314.72 is: 579,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,213.20 : 619,751.76 = 386,314.72 : x
  2. Step 2: Convert to fraction form
    413,213.20/619,751.76 = 386,314.72/x
  3. Step 3: Cross multiply
    413,213.20x = 619,751.76 × 386,314.72
  4. Step 4: Simplify right side
    413,213.20x = 239,419,227,633.91
  5. Step 5: Solve for x
    x = 239,419,227,633.91/413,213.20
  6. Step 6: Final answer
    x = 579,408.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.